Abstract

This analysis concerns itself with the loading calculation of a thin-ring airfoil symmetrically positioned in an unbounded spherical source flow field. A spherical source was used to replace the undisturbed, nonparallel, but axisymmetric, freestream. A ring vortex distribution was used to replace the thin-ring airfoil. The thin-airfoil theory not only limits the shape of the airfoil, but also applies only for a small angle σ, between the chord line and the relevant undisturbed source flow rays. With the latter restriction, the distance between the source origin and the midchord of the airfoil, roa of Fig. 2, is considered to be longer than the chord ca and the terms of

0 1roa/ca2

and higher-order terms were neglected in the analysis. The result of the analysis is a set of algebraic equations containing geometric parameters of the flow field. For a given geometry the strength of the ring vortex distribution can be calculated readily.

Return to: Theory of a Thin-Ring Airfoil in an Incompressible Inviscid Source Flow Field

Copyright in the material you requested is held by the American Society of Mechanical Engineers (unless otherwise noted). This email ability is provided as a courtesy, and by using it you agree that you are requesting the material solely for personal, non-commercial use, and that it is subject to the American Society of Mechanical Engineers' Terms of Use. The information provided in order to email this topic will not be used to send unsolicited email, nor will it be furnished to third parties. Please refer to the American Society of Mechanical Engineers' Privacy Policy for further information.

Shibboleth is an access management service that provides single sign-on protected resources.
It replaces the multiple user names and passwords necessary to access subscription-based content with a single user name and password that can be entered once per session.
It operates independently of a user's location or IP address.
If your institution uses Shibboleth authentication, please contact your site administrator to receive your user name and password.